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Nuno F. M. Martins

Institutional Address

Universidade Nova de Lisboa
Departamento de Matemática,
Faculdade de Ciências e Tecnologia,
Quinta da Torre
2829-516 CAPARICA

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Assistant Professor, Universidade Nova de Lisboa


Applied and Numerical Analysis


Papers in International Journals

Alves, Carlos J. S.; Martins, Nuno F. M.; Valtchev, Svilen S.  (2019)  Domain decomposition methods with fundamental solutions for Helmholtz problems with discontinuous source terms . Computers and Mathematics with Applications : (online).
Alves, Carlos J. S.; Martins, Nuno F. M.; Valtchev, Svilen S.  (2018) Trefftz methods with cracklets and their relation to BEM and MFS. Engineering Analysis and Boundary Elements: 95, 93-104.
Araújo, João; Kinyon, M.; Konieczny, J.; Martins, Nuno F. M. (2017) Four notions of conjugacy for abstract semigroups. Proceedings of the Royal Society of Edinburgh Section A: Mathematics: volume 147, issue 6, 1169-1214.
Alves, Carlos J. S.; Mamud, Roberto; Martins, Nuno F. M.; Roberty, Nilson C. (2017) On Inverse Problems for Characteristic Sources in Helmholtz Equations. Mathematical Problems in Engineering: 2017, ID 2472060.
Alves, Carlos J. S.; Martins, Nuno F. M.; Valtchev, Svilen S.  (2017) Extending the method of fundamental solutions to non-homogeneous elastic wave problems. Applied Numerical Mathematics: 115, 299-313.
Martins, Nuno F. M. (2014) Detecting the Localization of Elastic Inclusions and Lame Coefficients. Inverse Problems and Imaging: 8(3), 779-794.
Martins, Nuno F. M.; Rebelo, Magda (2014) Meshfree methods for nonhomogeneous Brinkman flows. Computers & Mathematics with Applications: 68(8), 872-886.
Alves, Carlos J. S.; Martins, Nuno F. M.; Roberty, Nilson C. (2014) Identification and Reconstruction of Elastic Body Forces. Inverse Problems: 30(5), 055015.
Martins, Nuno F. M.; Rebelo, Magda (2013) A Meshfree Method for Elasticity Problems with Interfaces. Applied Mathematics and Computation: 219(22), 10732-10745.
Alves, Carlos J. S.; Martins, Nuno F. M. (2009) The Direct Method of Fundamental Solutions and the Inverse Kirsch-Kress Method for the Reconstruction of Elastic Inclusions OR Cavities. Journal of Integral Equations and Applications: 21(2), 153-178.
Alves, Carlos J. S.; Martins, Nuno F. M.; Roberty, Nilson C. (2009) Full Identification of Acoustic Sources with Multiple Frequencies and Boundary Measurements. Inverse Problems and Imaging: 3(2), 275-294.
Martins, Nuno F. M.; Silvestre, Ana Leonor (2008) An Iterative MFS Approach for the Detection of Immersed Obstacles. Engineering Analysis with Boundary Elements: 32(6), 517-524.
Alves, Carlos J. S.; Colaco, Marcelo J.; Leitao, Vitor M. A.; Martins, Nuno F. M.; Orlande, Helcio R. B.; Roberty, Nilson C. (2008) Recovering the Source Term in a Linear Diffusion Problem by the Method of Fundamental Solutions. Inverse Problems in Science and Engineering: 16(8), PII 905240936.

Papers or Chapters in Edited Books

Alves, Carlos J. S.; Martins, Nuno F. M. (2013) Density results and the method of fundamental solutions for Cauchy data reconstruction. Advances in Boundary Element and Meshless Techniques XIV (A. Sellier and M.H. Aliabadi, Eds.): EC Ltd, Eastleigh, UK, pp. 323-328.
Alves, Carlos J. S.; Martins, Nuno F. M. (2009) On the Determination of a Robin Boundary Coefficient in an Elastic Cavity Using the MFS. Progress on Meshless Methods, Computational Methods in Applied Sciences, Springer Netherlands: 11, 125-139.
Alves, Carlos J. S.; Martins, Nuno F. M. (2008) Reconstruction of inclusions or cavities in potential problems using the MFS. The Method of Fundamental Solutions - A Meshless Method, Dynamic Publishers.

Communications in Conference Proceedings

Martins, Nuno F. M. (2014) Direct and optimization methods for the localization of obstacles in a porous media. Proceedings of the 4th International conference on engineering optimization, CRC Press 2014, 991-996.
Martins, Nuno F. M.; Morgado, M. Luísa; Rebelo, Magda (2014) A meshfree numerical method for the time-fractional diffusion equation. Proceedings of the 14th International Conference on Computational and Mathematical Methods in Science and Engineering (CMMSE 2014): Vol III , 892-903.
Valtchev, Svilen S. ; Alves, Carlos J. S.; Martins, Nuno F. M. (2014) A Meshfree Method with Fundamental Solutions for Inhomogeneous Elastic Wave Problems. Proceedings of the 6th International Conference on Numerical Analysis (NumAn 2014), September 2-5, Chania,Greece.
Martins, Nuno F. M.; Rebelo, Magda (2013) A Stokeslets Approach for the Numerical Solution of Brinkman Systems. Proceedings of International Conference Numerical Analysis and Applied Mathematics, AIP Conference Proceedings (ICNAAM 2013), American Institute of Physics, New York: 1558, 746-749.
Alves, Carlos J. S.; Colaço, M. J.; Martins, Nuno F. M.; Rainha, M. L.; Roberty, N. C. (2012) Uncertainties on the inverse source problem for elliptic boundary value problems. ECCOMAS 2012 Congress (6th European Congress on ComputationalMethods in Applied Sciences and Engineering). September 10-14, 2012, Vienna, Austria, 5298-5311.


Martins, Nuno F. M. (2009) Mathematical and numerical methods for inverse problems using fundamental solutions techniques. PhD Thesis, Instituto Superior Tecnico, University of Lisbon.